Description:
In this course, we introduce the categorical aspect of the theory of cluster algebras. We will first review basic knowledge of representation theory of algebras: representations of quivers, tilting theory, derived categories. Then we discuss various topics, including cluster categories, quivers with potential, Ginzburg dg algebras, 3-Calabi-Yau derived categories. As interesting applications, we will apply the above to the surface case.

Prerequisite:
Basic knowledge on representation theory of algebras is helpful.